Answer:
Step-by-step explanation:
1/2
We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
Hello from MrBillDoesMath!
Answer:
15
Discussion:
Given: measure angle STQ = 7x + 55. But, as shown, STQ is a right angle so
7x + 55 = 90 => subtract 55 from each side
7x = 90 -55 = 35 => divide each side by 7
x = 35/7 = 5
Since RS = (x+1) + (2x-1) where x = 5.
RS = (5 + 1) + (2*5 -1)
= 6 + 9
= 15
I don't know what choice the answer is as your diagram only shows Choice A
Thank you,
MrB
Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
Answer:
38°
Step-by-step explanation:
4x-6x = -6 - 10
-2x = -16
__ __
-2 -2
x = 8
(6x-10)
(6(8)-10)
48-10
38°
